13931367450 has 768 divisors, whose sum is σ = 49724817408. Its totient is φ = 2488320000.

The previous prime is 13931367371. The next prime is 13931367469. The reversal of 13931367450 is 5476313931.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 190840614 + ... + 190840686.

It is an arithmetic number, because the mean of its divisors is an integer number (64745856).

Almost surely, 2^13931367450 is an apocalyptic number.

13931367450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13931367450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862408704).

13931367450 is an abundant number, since it is smaller than the sum of its proper divisors (35793449958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13931367450 is a wasteful number, since it uses less digits than its factorization.

13931367450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 13931367450 in words is "thirteen billion, nine hundred thirty-one million, three hundred sixty-seven thousand, four hundred fifty".